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Small discrete family symmetries such as S4, A4 or A5 may lead to simple leading-order predictions for the neutrino mixing matrix such as the bimaximal, tribimaximal or golden ratio mixing patterns, which may be brought into agreement with…

高能物理 - 唯象学 · 物理学 2015-06-23 Peter Ballett , Stephen F. King , Christoph Luhn , Silvia Pascoli , Michael A. Schmidt

We study the implications of a large $\nu_\mu - \nu_\tau$ mixing angle on lepton flavour violating radiative transitions in supersymmetric extensions of the standard model. The transition rates are calculated to leading order in $\epsilon$,…

高能物理 - 唯象学 · 物理学 2014-11-17 W. Buchmuller , D. Delepine , F. Vissani

We construct a simple model of fermion masses based on a spontaneously broken S3 X Z3 flavour group. At the leading order, in the neutrino sector S3 is broken down to a \nu_\mu-\nu_\tau parity subgroup that enforces a maximal atmospheric…

高能物理 - 唯象学 · 物理学 2008-11-26 Ferruccio Feruglio , Yin Lin

Finite discrete subgroups of $U(3)$ as possible flavour symmetries $G_f$ for a massless neutrinos with predictive mixing angles are studied. This is done by assuming that a residual symmetry $S_\nu$ appropriate for describing a massless…

高能物理 - 唯象学 · 物理学 2014-04-07 Anjan S. Joshipura , Ketan M. Patel

We obtain predictions of lepton mixing parameters for direct models based on Delta(6n^2) family symmetry groups for arbitrarily large n in which the full Klein symmetry is identified as a subgroup of the family symmetry. After reviewing and…

高能物理 - 唯象学 · 物理学 2015-06-15 Stephen F. King , Thomas Neder , Alexander J. Stuart

Following the recent results from Daya Bay and RENO, which measure the lepton mixing angle theta^l_13 ~ 0.15, we revisit a supersymmetric S4 x SU(5) model, which predicts tri-bimaximal (TB) mixing in the neutrino sector with theta^l_13…

高能物理 - 唯象学 · 物理学 2015-06-05 Claudia Hagedorn , Stephen F. King , Christoph Luhn

We study the lepton sector of a four generations model based on the discrete flavor group $A_5$ (the even permutation of five objects). The best features of the three family $A_4$ model survive, including the tribimaximal pattern of three…

高能物理 - 唯象学 · 物理学 2011-06-24 Chian-Shu Chen , Thomas W. Kephart , Tzu-Chiang Yuan

We note that a simple two parameter description of lepton mixing is possible which reproduces the features that apparently emerge from global fits at the 1\sigma level: if U_{e3} is non-zero it implies that the solar neutrino mixing…

高能物理 - 唯象学 · 物理学 2015-06-05 Werner Rodejohann , He Zhang

Recently, the reactor mixing angle $\theta_{13}$ has been measured precisely by Daya Bay, RENO and T2K experiments with a moderately large value. However, the standard form of neutrino mixing patterns such as bimaximal, tri-bimaximal,…

高能物理 - 唯象学 · 物理学 2015-09-02 Sruthilaya M. , Soumya C. , K. N. Deepthi , R. Mohanta

We study a model for the mass matrices of the leptons. We are ablte to relate the mass eigenvalues of the charged leptons and of the neutrinos to the mxiing angles and can predict the masses of the neutrinos. We find a normal hierarchy -the…

高能物理 - 唯象学 · 物理学 2010-04-21 H. Fritzsch

We consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group G_f is combined with a generalized CP transformation. We derive conditions for consistently defining such a setup. We show that in general lepton…

高能物理 - 唯象学 · 物理学 2013-07-03 Ferruccio Feruglio , Claudia Hagedorn , Robert Ziegler

We consider the $A_4$, $S_4$ and $A_5$ discrete lepton flavour symmetries in the case of 3-neutrino mixing, broken down to non-trivial residual symmetries in the charged lepton and neutrino sectors in such a way that at least one of them is…

高能物理 - 唯象学 · 物理学 2018-07-04 S. T. Petcov , A. V. Titov

We speculate that the mass spectrum of three neutrinos might have a normal hierarchy as that of three charged leptons or that of three up-type (or down-type) quarks. In this spirit, we propose a novel parametrization of the $3\times 3$…

高能物理 - 唯象学 · 物理学 2009-11-11 Harald Fritzsch , Zhi-zhong Xing

In this note we discuss a supersymmetric (SUSY) D4 x Z5 model which leads to vanishing reactor mixing angle theta_13=0 and maximal atmospheric mixing theta_23=pi/4 in the lepton sector at leading order (LO), due to the preservation of…

高能物理 - 唯象学 · 物理学 2014-11-21 Claudia Hagedorn , Robert Ziegler

The recent measurements of the neutrino reactor angle require a re-examination of flavour models based on discrete groups. Indeed, when these models deal with the Tri-Bimaximal, the Bimaximal and the Golden Ratio mixing patterns, some…

高能物理 - 唯象学 · 物理学 2022-03-02 Luca Merlo

In this paper, we give a model for understanding flavor physics in the lepton sector--mass hierarchy among different generations and neutrino mixing pattern. The model is constructed in the framework of supersymmetry, with a family symmetry…

高能物理 - 唯象学 · 物理学 2012-12-03 Zhen-hua Zhao

We update the analysis of the viability of the lepton mixing patterns originating from $A_4$, $S_4$ and $A_5$ discrete flavour symmetries and leading to predictions for the solar neutrino mixing angle, $\theta_{12}$. We perform a…

高能物理 - 唯象学 · 物理学 2026-03-19 S. T. Petcov , A. V. Titov

We suggest two alternative schemes to predict lepton mixing angles as well as $CP$ violating phases from a discrete flavor symmetry group combined with $CP$ symmetry. In the first scenario, the flavor and $CP$ symmetry is broken to the…

高能物理 - 唯象学 · 物理学 2017-01-25 Jun-Nan Lu , Gui-Jun Ding

An attempt is made to explore the possibility for deviations of solar mixing angle ($\theta_{12}$) from tri-bimaximal mixings, without sacrificing the predictions of maximal atmospheric mixing angle ($\theta_{23}=\pi/4$) and zero reactor…

高能物理 - 唯象学 · 物理学 2008-11-26 N. Nimai Singh , Monisa Rajkhowa , Abhijit Borah

This is a review article about neutrino mass and mixing and flavour model building strategies based on discrete family symmetry. After a pedagogical introduction and overview of the whole of neutrino physics, we focus on the PMNS mixing…

高能物理 - 唯象学 · 物理学 2016-03-01 Stephen F. King , Christoph Luhn